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  • Periodic problems for strongly nonlinear second-order differential inclusions
    Kyritsi, Sophia Th. ; Matzakos, Nikolaos ; Papageorgiou, Nikolaos, 1958-
    In this paper, we study periodic problems for second-order differential inclusions in ▫$\mathbb{R}^N$▫ with a maximal monotone term. The nonlinear differential operator is not necessarily ... homogeneous, does not obey any growth condition and incorporates as a special case the one-dimensional ▫$p$▫-Laplacian. Using techniques from multivalued analysis and the theory of operators of monotone type, we prove the existence of solutions for both the "convex" and "nonconvex" problems, when the maximal monotone term ▫$A$▫ is defined everywhere and when it is not defined everywhere (case of variational inequalities).
    Vir: Journal of differential equations. - ISSN 0022-0396 (Vol. 183, iss. 2, 2002, str. 279-302)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2002
    Jezik - angleški
    COBISS.SI-ID - 18098009